Algorithms for shape preserving local approximation with automatic selection of tension parameters Original Research Article

This paper describes the problem of shape preserving approximation for data with specified tolerances. Using the tool of generalized B-splines (GB-splines for short), simple one- and three-point algorithms of shape preserving local approximation with automatic choice of the tension parameters are developed. In the two-dimensional case, tensor product of one-dimensional splines are employed. The results of numerical calculations are given.